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Finding the Fourth Proportional to 427.84, 590.70 and 311.20

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Solution

The fourth proportional to 427.84, 590.70 and 311.20 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 590.70 = 311.20 : x
  2. Step 2: Convert to fraction form
    427.84/590.70 = 311.20/x
  3. Step 3: Cross multiply
    427.84x = 590.70 × 311.20
  4. Step 4: Simplify right side
    427.84x = 183,825.84
  5. Step 5: Solve for x
    x = 183,825.84/427.84
  6. Step 6: Final answer
    x = 429.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.